• 제목/요약/키워드: smeared crack

검색결과 93건 처리시간 0.019초

New constitutive models for non linear analysis of high strength fibrous reinforced concrete slabs

  • Yaseen, Ahmed Asaad;Abdul-Razzak, Ayad A.
    • Structural Engineering and Mechanics
    • /
    • 제82권1호
    • /
    • pp.121-131
    • /
    • 2022
  • The main goal of this study is to prepare a program for analyzing High Strength Steel Fibrous Reinforced Concrete (HSSFRC) slabs and predict the response and strength of the slab instead of preparing a prototype and testing it in the laboratory. For this purpose, new equations are proposed to represent the material properties of High Strength Steel Fibrous Reinforced Concrete. The proposed equations obtained from performing regression analysis on many experimental results using statistical programs. The finite element method is adopted for non-linear analysis of the slabs. The eight-node "Serendipity element" (3 DoF) is chosen to represent the concrete. The layered approach is adopted for concrete elements and the steel reinforcement is represented by a smeared layer. The compression properties of the concrete are modeled by a work hardening plasticity approach and the yield condition is determined depending on the first two stress invariants. A tensile strength criterion is adopted in order to estimate the cracks propagation. many experimental results for testing slabs are compared with the numerical results of the present study and a good agreement is achieved regarding load-deflection curves and crack pattern. The response of the load deflection curve is slightly stiff at the beginning because the creep effect is not considered in this study and for assuming perfect bond between the steel reinforcement and the concrete, however, a great agreement is achieved between the ultimate load from the present study and experimental results. For the models of the tension stiffening and cracked shear modulus, the value of Bg and Bt (Where Bg and Bt are the curvature factor for the cracked shear modulus and tension stiffening models respectively) equal to 0.005 give good results compared with experimental result.

Multiscale modeling of reinforced/prestressed concrete thin-walled structures

  • Laskar, Arghadeep;Zhong, Jianxia;Mo, Y.L.;Hsu, Thomas T.C.
    • Interaction and multiscale mechanics
    • /
    • 제2권1호
    • /
    • pp.69-89
    • /
    • 2009
  • Reinforced and prestressed concrete (RC and PC) thin walls are crucial to the safety and serviceability of structures subjected to shear. The shear strengths of elements in walls depend strongly on the softening of concrete struts in the principal compression direction due to the principal tension in the perpendicular direction. The past three decades have seen a rapid development of knowledge in shear of reinforced concrete structures. Various rational models have been proposed that are based on the smeared-crack concept and can satisfy Navier's three principles of mechanics of materials (i.e., stress equilibrium, strain compatibility and constitutive laws). The Cyclic Softened Membrane Model (CSMM) is one such rational model developed at the University of Houston, which is being efficiently used to predict the behavior of RC/PC structures critical in shear. CSMM for RC has already been implemented into finite element framework of OpenSees (Fenves 2005) to come up with a finite element program called Simulation of Reinforced Concrete Structures (SRCS) (Zhong 2005, Mo et al. 2008). CSMM for PC is being currently implemented into SRCS to make the program applicable to reinforced as well as prestressed concrete. The generalized program is called Simulation of Concrete Structures (SCS). In this paper, the CSMM for RC/PC in material scale is first introduced. Basically, the constitutive relationships of the materials, including uniaxial constitutive relationship of concrete, uniaxial constitutive relationships of reinforcements embedded in concrete and constitutive relationship of concrete in shear, are determined by testing RC/PC full-scale panels in a Universal Panel Tester available at the University of Houston. The formulation in element scale is then derived, including equilibrium and compatibility equations, relationship between biaxial strains and uniaxial strains, material stiffness matrix and RC plane stress element. Finally the formulated results with RC/PC plane stress elements are implemented in structure scale into a finite element program based on the framework of OpenSees to predict the structural behavior of RC/PC thin-walled structures subjected to earthquake-type loading. The accuracy of the multiscale modeling technique is validated by comparing the simulated responses of RC shear walls subjected to reversed cyclic loading and shake table excitations with test data. The response of a post tensioned precast column under reversed cyclic loads has also been simulated to check the accuracy of SCS which is currently under development. This multiscale modeling technique greatly improves the simulation capability of RC thin-walled structures available to researchers and engineers.

외부강선으로 보강되는 PSC I 합성거더의 해석 기법 (Analytical Method on PSC I Girder with Strengthening of External Tendon)

  • 박재근;이병주;김문영;신현목
    • 콘크리트학회논문집
    • /
    • 제20권6호
    • /
    • pp.697-704
    • /
    • 2008
  • 이 논문은 외부 강선으로 보강된 PSC 교량의 시공단계가 고려된 비선형거동 예측을 위한 연구이다. 해석시 비부착 텐던 요소와 유연도법에 근거한 보-기둥 요소를 사용하였다. 비부착 텐던 모델은 PSC 구조물의 콘크리트내의 텐던의 거동을 모사하며 포스트텐션 (posttensioned) 구조물의 프리스트레싱력과 전달을 효율적으로 모사할 수 있다. 이 모델은 여러 절점과 세그먼트로 구성되며 PSC 구조물내의 같은 위치의 텐던을 하나의 텐던 요소로 모사할 수 있다. 보-기둥 요소는 분산균열 개념에 기초한 철근콘크리트 비선형 재료모델을 포함하고 있다. 유연도법에 근거하여 유도된 보-기둥 요소의 각각의 파이버는 콘크리트와 철근의 일축 거동을 모사한다. 보-기둥요소와 비부착 텐던 요소는 RC 및 PSC 구조물의 상세 비선형해석을 수행할 수 있는 RCAHEST (reinforce concrete analysis in higher evaluation system technology)에 이식하였다. 외부 강선으로 보강된 PSC 구조물에 대한 수치기법은 신뢰성 있는 실험 결과와 비교하여 검증하였다.